Foundations of Advanced Mathematics
AS Core Mathematics Bridging Test 7
Questions
1
2
3
4
Three of the following statements are true and one is false. Which one is false?
A
0.01 is equivalent to 1%.
B
1
30% is equivalent to .
3
C
0.04 is equivalent to
D
54% is equivalent to 0.54.
1
.
25
1
1
Which one of the following is the correct answer to 3 × 4 ?
3
2
A
12 16
B
12 52
C
12 56
D
15
Three of the following statements are true and one is false. Which one is false?
A
(5.2 × 105) × (2 × 103) = 1.04 × 109
B
(5.2 × 105) ÷ (2 × 103) = 2.6 × 102
C
One third of 1.05 × 109 is 3.5 × 1010.
D
Six million can be written as 6 × 106.
Three of the following statements are true and one is false. Which one is false?
A
4x2 + 5x2 = 9x2
B
4x2 × 5x2 = 20x2
C
x2 × x -2 = 1
D
8x2 ÷ 4x2 = 2
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Foundations of Advanced Mathematics
5
John is attempting to solve the equation 5 ( x + 2 ) − 2 ( x − 1) = 6 .
His working is shown in the four steps below but the final answer is incorrect. In which
of the following lines A, B, C or D does the first error appear?
6
7
A
5 x + 10 − 2 x − 2 = 6
B
3x + 8 = 6
C
3x = −2
D
x=−
2
3
Which one of the following is the solution of the equation x2 + 5x = 2?
A
x=
5 ± 33
2
B
x=
−5 ± 17
2
C
x=
5 ± 17
2
D
x=
−5 ± 33
2
Three of the following statements are true and one is false. Which one is false?
A
The solution of the inequality x − 1 > 3 − x is x > 2.
B
The solution of the inequality
x
< 1 − x is x < 1.5.
2
C
The solution of the inequality
2x + 5
≤ 1 is x ≤ −1.
3
D
The solution of the inequality 2 − 3x < x − 3 is x > 1.25 .
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Foundations of Advanced Mathematics
8
Aswan goes to a shop and buys 3 pencils and 2 rubbers for 80p. Bathwah goes to the
same shop and buys 4 pencils and 1 rubber for 70p.
Let p pence be the cost of a pencil and r pence be the cost of a rubber.
Which one of the following is a correct pair of equations for p and r?
A
9
3p + 2r = 0.8 and 4p + r = 0.7
B
p r
p
+ = 80 and + r = 70
3 2
4
C
2p +3r = 80 and p + 4r = 70
D
3p +2r = 80 and 4p + r = 70
The figure shows part of the curve with equation y = 4 − x3 + 3x .
Three of the following statements are true and one is false. Which one is false?
A
The solution of the equation 4 − x 3 + 3 x = 0 is approximately x = 2.2.
B
The solution of 4 − x 3 + 3 x = 2 is x = 2 and x = –1.
C
When k < 6 the equation 4 − x 3 + 3 x = k always has 3 roots.
D
The gradient of the curve is positive in the range –1 < x < 1.
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Foundations of Advanced Mathematics
10
P
Q
S
R
Three of the following statements about the lines P, Q, R and S on the graph are true
and one is false. Which one is false?
A
P has gradient 1.
B
The gradient of P is greater than the gradient of Q.
C
R has gradient −1.5.
D
P and S are perpendicular.
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